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Wind Turbine Power

Power a wind turbine extracts, rising with the cube of wind speed.

Formula

P = \tfrac{1}{2}\rho A v^3 C_p

Variables

PPower (W)

ρAir density (kg/m³)

ARotor swept area (m²)

vWind speed (m/s)

C_pPower coefficient

Example

ρ=1.2, A=8000, v=12, C_p=0.4: P ≈ 3.3 MW

Did You Know?

Because power scales with v³, a site with 25% more wind yields roughly double the energy.

renewable wind turbine power

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